H∞-optimal controller synthesis for dithered systems

Chia Yuang Chang; Ciann Dong Yang; Chin E. Lin

doi:10.23919/acc.1992.4792537

H^∞-optimal controller synthesis for dithered systems

Chia Yuang Chang, Ciann Dong Yang, Chin E. Lin

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper a novel design algorithm is proposed to synthesize an H^∞-optimal observer-based controller for a multivariable system under multiplicative nonlinear time-varying perturbation. It is shown that optimal robustness and performance can both be attained, by using the technique of H^∞-optimization theory and by applying dither to smooth the nonlinearity. The exact solution of the model-matching problem induced by the stability criterion is solved by noninterative computation method of H^∞-norm, allowing the optimal H^∞-controller to be expressed explicitly in terms of a free parameter, the dither amplitude, which is shown, here, as the dominant parameter on adjusting the gain of the H^∞- optimal controller in order to obtain high performances and to guarantee stability, simultaneously.

Original language	English
Title of host publication	Proceedings of the American Control Conference
Publisher	Publ by American Automatic Control Council
Pages	2250-2255
Number of pages	6
ISBN (Print)	0780302109, 9780780302105
DOIs	https://doi.org/10.23919/acc.1992.4792537
Publication status	Published - 1992
Event	Proceedings of the 1992 American Control Conference - Chicago, IL, USA Duration: 1992 Jun 24 → 1992 Jun 26

Publication series

Name	Proceedings of the American Control Conference
Volume	3
ISSN (Print)	0743-1619

Other

Other	Proceedings of the 1992 American Control Conference
City	Chicago, IL, USA
Period	92-06-24 → 92-06-26

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Access to Document

10.23919/acc.1992.4792537

Cite this

@inproceedings{a3268eb98fd94aa9a96dbf278fa4b061,

title = "H∞-optimal controller synthesis for dithered systems",

abstract = "In this paper a novel design algorithm is proposed to synthesize an H∞-optimal observer-based controller for a multivariable system under multiplicative nonlinear time-varying perturbation. It is shown that optimal robustness and performance can both be attained, by using the technique of H∞-optimization theory and by applying dither to smooth the nonlinearity. The exact solution of the model-matching problem induced by the stability criterion is solved by noninterative computation method of H∞-norm, allowing the optimal H∞-controller to be expressed explicitly in terms of a free parameter, the dither amplitude, which is shown, here, as the dominant parameter on adjusting the gain of the H∞- optimal controller in order to obtain high performances and to guarantee stability, simultaneously.",

author = "Chang, {Chia Yuang} and Yang, {Ciann Dong} and Lin, {Chin E.}",

year = "1992",

doi = "10.23919/acc.1992.4792537",

language = "English",

isbn = "0780302109",

series = "Proceedings of the American Control Conference",

publisher = "Publ by American Automatic Control Council",

pages = "2250--2255",

booktitle = "Proceedings of the American Control Conference",

note = "Proceedings of the 1992 American Control Conference ; Conference date: 24-06-1992 Through 26-06-1992",

}

Chang, CY, Yang, CD & Lin, CE 1992, H^∞-optimal controller synthesis for dithered systems. in Proceedings of the American Control Conference. Proceedings of the American Control Conference, vol. 3, Publ by American Automatic Control Council, pp. 2250-2255, Proceedings of the 1992 American Control Conference, Chicago, IL, USA, 92-06-24. https://doi.org/10.23919/acc.1992.4792537

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AU - Chang, Chia Yuang

AU - Yang, Ciann Dong

AU - Lin, Chin E.

PY - 1992

Y1 - 1992

N2 - In this paper a novel design algorithm is proposed to synthesize an H∞-optimal observer-based controller for a multivariable system under multiplicative nonlinear time-varying perturbation. It is shown that optimal robustness and performance can both be attained, by using the technique of H∞-optimization theory and by applying dither to smooth the nonlinearity. The exact solution of the model-matching problem induced by the stability criterion is solved by noninterative computation method of H∞-norm, allowing the optimal H∞-controller to be expressed explicitly in terms of a free parameter, the dither amplitude, which is shown, here, as the dominant parameter on adjusting the gain of the H∞- optimal controller in order to obtain high performances and to guarantee stability, simultaneously.

AB - In this paper a novel design algorithm is proposed to synthesize an H∞-optimal observer-based controller for a multivariable system under multiplicative nonlinear time-varying perturbation. It is shown that optimal robustness and performance can both be attained, by using the technique of H∞-optimization theory and by applying dither to smooth the nonlinearity. The exact solution of the model-matching problem induced by the stability criterion is solved by noninterative computation method of H∞-norm, allowing the optimal H∞-controller to be expressed explicitly in terms of a free parameter, the dither amplitude, which is shown, here, as the dominant parameter on adjusting the gain of the H∞- optimal controller in order to obtain high performances and to guarantee stability, simultaneously.

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